Zeeman Effect: New Outlook on Old Perturbation Theory

摘要

The problem of hydrogen atom placed in constant external magnetic field is studied. The properties of ordinary perturbation theory in the framework of a new approach are investigated. The ground states and the excited states are discussed. It is shown that the wave function corrections within this approach are simpler than within ordinary one and contain a finite number of harmonics with polynomial coefficients. Some coefficients of these polynomials are found explicitly.